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Questions and Answers
The axis of symmetry is ALWAYS _______________
The axis of symmetry is ALWAYS _______________
- x= (correct)
- y<
- y>
- z=
Which of the following equations correctly represents the axis of symmetry for the quadratic function?
Which of the following equations correctly represents the axis of symmetry for the quadratic function?
- x = b/(2a)
- y = b/(2a)
- y = -b/(2a)
- x = -b/(2a) (correct)
In the context of parabolas, the axis of symmetry is defined as:
In the context of parabolas, the axis of symmetry is defined as:
- a vertical line that runs through the vertex (correct)
- a diagonal line that connects two points on the parabola
- a horizontal line that runs through the vertex
- a line that divides a shape into non-mirror-image halves
For a parabola represented by the quadratic equation y = 2x^2 + 4x + 1, what is the axis of symmetry?
For a parabola represented by the quadratic equation y = 2x^2 + 4x + 1, what is the axis of symmetry?
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Why is the axis of symmetry important in graphing parabolas?
Why is the axis of symmetry important in graphing parabolas?
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Study Notes
Axis of Symmetry
- The axis of symmetry is a line that divides a shape into two mirror-image halves.
- For parabolas (quadratic functions), the axis of symmetry is always a vertical line.
Key Fact
- The axis of symmetry for a parabola represented by the quadratic equation ( y = ax^2 + bx + c ) is given by the formula:
- x = -b/(2a)
Answer Option
- The correct choice is x =.
- This signifies that the axis of symmetry is a vertical line along the x-coordinate.
Axis of Symmetry
- The axis of symmetry serves as a reference line that splits a geometric shape into two congruent halves.
- In the context of parabolas, which are defined by quadratic equations, this axis is always vertical.
Key Fact
- For a given parabola expressed in the standard quadratic form ( y = ax^2 + bx + c ), the axis of symmetry can be calculated using the equation:
- x = -b/(2a)
- This formula identifies the x-coordinate at which the parabola is perfectly symmetrical, enabling clear identification of its vertex.
Answer Option
- The answer indicates that the axis of symmetry takes the form x =.
- This representation confirms that the axis is aligned along the vertical orientation through a specific x-coordinate.
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